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Show that cos 38° cos 52° − sin 38° sin 52° = 0 - Mathematics

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Question

Show that cos 38° cos 52° − sin 38° sin 52° = 0

Solution

cos 38° cos 52° − sin 38° sin 52°

= cos (90° − 52°) cos (90°−38°) − sin 38° sin 52°

= sin 52° sin 38° − sin 38° sin 52°

= 0

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Chapter 8: Introduction to Trigonometry - Exercise 8.3 [Page 189]

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NCERT Mathematics [English] Class 10
Chapter 8 Introduction to Trigonometry
Exercise 8.3 | Q 2.2 | Page 189
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